An Introduction to Applied Numerical Analysis

By: M Ali Hooshyar

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eBook | 27 December 2024

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This book is based on lecture notes for a numerical analysis course designed mainly for senior undergraduate students majoring in mathematics, engineering, computer science and physical sciences.

The book has two overarching goals. The first goal is to introduce different available numerical procedures for finding solutions to linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, differential equations, and error analysis. The second goal is to translate theory into practice through applying commonly used numerical methods in mathematics, physical sciences, biomedical sciences, and engineering.

This book was crafted in an informal and user-friendly manner to motivate the study of the material being covered. Ample figures and numerical tables are presented to enhance the reader's ease of understanding of the material under consideration.

Contents:

Preliminaries
Solution of Linear System of Equations
Roots of Nonlinear Equations
Polynomial Approximation and Interpolation
Differentiation and Integration
Initial Value Problems
Boundary Value Problems
Partial Differential Equations

Readership: Undergraduate students in Mathematics, Statistics, Physics, Engineering and Computer Science, biomedical, and any Course dealing with numerical calculations and computations.